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Analytic and combinatorial generalizations of the Rogers-Ramanujan identities

About this Title

David M. Bressoud

Publication: Memoirs of the American Mathematical Society
Publication Year: 1980; Volume 24, Number 227
ISBNs: 978-0-8218-2227-2 (print); 978-1-4704-0631-8 (online)
DOI: https://doi.org/10.1090/memo/0227
MathSciNet review: 556608
MSC: Primary 10A45; Secondary 05A17, 33A65

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Table of Contents

Chapters

• 1. Introduction
• 2. The analytic identity
• 3. Corollaries to Theorem 1
• 4. The combinatorial identity
• 5. Interpretation of $G_{1,k,r}$
• 6. Two identities of Göllnitz
• 7. Interpretation of $G_{2,2,2}$
• 8. Conclusion